Traveling Wave Patterns in Lasers with Curved Mirrors

EQEC'96. 1996 European Quantum Electronic Conference Pub Date : 1996-01-01 DOI:10.1109/EQEC.1996.561573

G. Harkness, J. Lega, G. Oppo

{"title":"Traveling Wave Patterns in Lasers with Curved Mirrors","authors":"G. Harkness, J. Lega, G. Oppo","doi":"10.1109/EQEC.1996.561573","DOIUrl":null,"url":null,"abstract":"the Maxwcll-l3locli cqiititioiis (.LIl<E) [2], the ineclianisms hcliiiid tlie waves and cavity modcs arc analagous [3]. In fact, numerical siiniilatioiis show that. for large enough input energ)(pump). iptteriis of a travclling-wavc nature arr rccovcred rveri wiicii the mirrors are curved. The threshold for tlie transition from patterns made up of empty cavity iiiodcs to ones of a travelling, wave nature i s shown i n panel 2 of the figure. As the radius of curvature of the mirrors, R, decreases the threshold values of the pump increase. In the shadcd region therr is bistability between target and Gauss-Laguerre pattern types. Above the threshold, the patterns lake the form of the cylindrically syiiimctric travelling waves shown in panel 3 of the figure. The waves are generated at the edge and travel inwards. We have analysed these structures using amplitude equations derived in the Gauss-Laguerre basis, and a numerical shooting method. This method allows us to study the stability of these target patterns: complex spatio-temporal behaviour is predicted for specific parameter ranges. In particular we have found an instability of the source of travelling waves which leads to a weak turbulence characterised by the erratic emission of vortices. These and other fascinating laser spatio-temporal structures will be presented with the aid of video displays. This work is, in part, supported by EPSRC grant GR/.1/30998.","PeriodicalId":11780,"journal":{"name":"EQEC'96. 1996 European Quantum Electronic Conference","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1996-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"EQEC'96. 1996 European Quantum Electronic Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/EQEC.1996.561573","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}